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Chemical Kinetics and Nuclear Chemistry question

2025 · 7 Apr · Shift 2 · Q16
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Chemical Kinetics and Nuclear Chemistry question

2025 · 7 Apr · Shift 2 · Q16

JEE MainChemistryChemical Kinetics and Nuclear ChemistryMCQ+4 / −1

A(g) → B(g) + C(g) is a first order reaction.

Time t ∞
Psystem Pt P∞

The reaction was started with reactant A only. Which of the following expressions is correct for rate constant k?

  1. A
    k=1tln⁡p∞pt\mathrm{k}=\frac{1}{\mathrm{t}} \ln \frac{\mathrm{p}_{\infty}}{\mathrm{p}_{\mathrm{t}}}k=t1​lnpt​p∞​​
  2. B
    k=1tln⁡p∞2(p∞−pt)\mathrm{k}=\frac{1}{\mathrm{t}} \ln \frac{\mathrm{p}_{\infty}}{2\left(\mathrm{p}_{\infty}-\mathrm{p}_{\mathrm{t}}\right)}k=t1​ln2(p∞​−pt​)p∞​​
  3. C
    k=1tln⁡2(p∞−pt)pt\mathrm{k}=\frac{1}{\mathrm{t}} \ln \frac{2\left(\mathrm{p}_{\infty}-\mathrm{p}_{\mathrm{t}}\right)}{\mathrm{p}_{\mathrm{t}}}k=t1​lnpt​2(p∞​−pt​)​
  4. D
    k=1tln⁡p∞(p∞−pt)\mathrm{k}=\frac{1}{\mathrm{t}} \ln \frac{\mathrm{p}_{\infty}}{\left(\mathrm{p}_{\infty}-\mathrm{p}_{\mathrm{t}}\right)}k=t1​ln(p∞​−pt​)p∞​​
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